Atkin-Lehner |
2- 3+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386s |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
162367090704 = 24 · 36 · 72 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2184,-35079] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:65:1] |
Generators of the group modulo torsion |
j |
1152110255377537/162367090704 |
j-invariant |
L |
5.9747039825622 |
L(r)(E,1)/r! |
Ω |
0.70491653552586 |
Real period |
R |
2.1189402154204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67158u2 |
Quadratic twists by: -3 |